Λ变差下连续函数的一些性质

On Some Properties of the Continuous Functions in Λ-Variation

本文对Ｗａｔｅｒｍａｎ［１］提出的在Λ变差下连续的函数给出了一种新的刻划方法，从而给出了ＢＶΛＢＶｃ的一个充分条件及ｆ∈ΛＢＶｃ的两个必要条件．

In the paper we study the continuous functions in Λ-Variation defined by waterman. Namely, we give a sufficient condition of that BV ABVc and two neceasary conditions of that f∈ABVc for any f∈ABV.